基于中值滤波和分数阶滤波的图像去噪与增强算法

doi:10.12068/j.issn.1005-3026.2020.04.005

东北大学学报:自然科学版 ›› 2020, Vol. 41 ›› Issue (4): 482-487.DOI: 10.12068/j.issn.1005-3026.2020.04.005

基于中值滤波和分数阶滤波的图像去噪与增强算法

张雪峰，闫慧

(东北大学理学院，辽宁沈阳110819)

收稿日期:2019-08-03 修回日期:2019-08-03 出版日期:2020-04-15 发布日期:2020-04-17
通讯作者: 张雪峰
作者简介:张雪峰(1966-)，男，辽宁辽阳人，东北大学副教授，博士.
基金资助:
国家自然科学基金资助项目(61603055).

Image Denoising and Enhancement Algorithm Based on Median Filtering and Fractional Order Filtering

ZHANG Xue-feng， YAN Hui

School of Sciences， Northeastern University， Shenyang 110819， China.

Received:2019-08-03 Revised:2019-08-03 Online:2020-04-15 Published:2020-04-17
Contact: ZHANG Xue-feng
About author:-
Supported by:
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摘要/Abstract

摘要： 为了避免经典中值滤波器对图像的模糊化，设计了一个噪声检测模型.通过对噪声的检测，设计了一种开关滤波器.当检测点为噪声时，使用中值滤波器进行去噪；当检测点为非噪声点时，利用分数阶微分滤波器对图像进行增强.所提算法不仅能有效地去除图像中的椒盐噪声，还能对图像进行增强，使图像在边缘突出的情况下完好地保留细节.选择“Lena”等经典图像进行多次实验与分析，结果表明了所提算法在图像去噪和增强方面的有效性.

关键词: 图像去噪, 中值滤波, 分数阶微分, 椒盐噪声, 噪声检测

Abstract: In order to avoid the blurring of image by classical median filter， a noise detection model was established. A switching filter was designed by detecting noise. When the detection point is noisy， the median filter was used for denoising. When the detection point is non-noisy point， the fractional differential filter was used to enhance the image. The proposed algorithm can not only effectively remove the salt and pepper noise in the image， but also enhance the image， so that the image retains the details intact when the edge is protruding. Selecting “Lena” and other classic images for multiple experiments and analysis， the results showed the effectiveness of the proposed algorithm in image denoising and enhancement.

Key words: image denoising, median filtering, fractional differential, salt and pepper noise, noise detection

中图分类号:

TP751.1

张雪峰，闫慧. 基于中值滤波和分数阶滤波的图像去噪与增强算法[J]. 东北大学学报:自然科学版, 2020, 41(4): 482-487.

ZHANG Xue-feng， YAN Hui. Image Denoising and Enhancement Algorithm Based on Median Filtering and Fractional Order Filtering[J]. Journal of Northeastern University Natural Science, 2020, 41(4): 482-487.

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基于中值滤波和分数阶滤波的图像去噪与增强算法

Image Denoising and Enhancement Algorithm Based on Median Filtering and Fractional Order Filtering

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